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Finding the Fourth Proportional to 7,582.69, 11,416.24 and 6,664.15

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Solution

The fourth proportional to 7,582.69, 11,416.24 and 6,664.15 is: 10,033.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,582.69 : 11,416.24 = 6,664.15 : x
  2. Step 2: Convert to fraction form
    7,582.69/11,416.24 = 6,664.15/x
  3. Step 3: Cross multiply
    7,582.69x = 11,416.24 × 6,664.15
  4. Step 4: Simplify right side
    7,582.69x = 76,079,535.80
  5. Step 5: Solve for x
    x = 76,079,535.80/7,582.69
  6. Step 6: Final answer
    x = 10,033.32

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.